The investigation of exact solutions of the Sharma–Tasso–Olver–Burgers equation

OpenAlex İngilizce

In this study, the Sharma–Tasso–Olver–Burgers equation, which is one of the nonlinear partial differential equations, is considered and it is to obtain analytical solutions of this equation using the [Formula: see text]-expansion method. The Sharma–Tasso–Olver–Burgers equation is an extended model that combines the features of the Burgers and Sharma–Tasso–Olver equations and has an important place in the modeling of physical processes, especially fluid mechanics, wave propagation and energy transport. In the study, hyperbolic-type solutions of the equation considered with the [Formula: see text]-expansion method are produced. The contribution of these solutions to the modeling and simulation processes of physical systems, especially fluid behavior, has emphasized the importance of these solutions. As a result, the obtained solutions are visualized by computer-aided software and presented in three-dimensional, contour and two-dimensional graphics.